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Developing novel and effective solutions to problems in engineering and in general involves moving through phases of synthesis and analysis, each of which has a unique set of requirements with regard to psychological processes, personal qualities, and environmental characteristics.
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The treated gels came out of Phase III much slower than untreated, moving through Phase II after Phase III and finally to Phase I, as shown in Figure 1.
In this case, a pre-existing separatrix is moving through phase space due to parameter changes.
This four-phase procedural model, considered a generalization of scientific method, begins with a triggering event, and subsequently moves through phases of exploration, integration, and resolution (Garrison, 2016).
According to the Kuznets theory of economic development and energy consumption, as countries grow richer they move through phases of primarily agriculture and resource dependent growth, into a process of industrialization and the installation of modern infrastructure; and finally into a phase of consumer driven growth relatively geared toward services and higher value manufacturing activities.
They found that provider actions, maternal characteristics, and past experiences influenced the speed with which mothers moved through phases in order to develop a connected relationship [ 11, 21].
The products hadn't moved through phase I safety studies, and the outbreaks were much smaller and always ended within a few months.
We have seen how saddles and attractors can be created and annihilated by bifurcations, and how they can move through phase space in such systems.
For a moment, the model room had the feeling of a childhood afternoon at a grandparent's house, light moving across the floor, the day moving through its phases.
The story of my responses to the Abba musical onstage is a strange one, moving through several phases, sort of like those stages of grief famously diagnosed by Elisabeth KublElisabeth
Most of us have a hazy grasp of the mechanics of orbits and eclipses, but digital displays of the Moon moving through its phases, and of the alignments of a lunar eclipse sharpen and deepen that understanding.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com